Theorems · Definition · ring theory
MonoidAlgebra.liftNCRingHom
{k : Type u₁} →
{G : Type u₂} →
{R : Type u_2} →
[inst : Semiring k] →
[inst_1 : Monoid G] →
[inst_2 : Semiring R] →
(f : k →+* R) → (g : G →* R) → (∀ (x : k) (y : G), Commute (f x) (g y)) → MonoidAlgebra k G →+* RliftNC as a RingHom, for when f x and g y commute
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Lift
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidHomproof · cited by 3,230
- Commutestatement and proof · cited by 639
- MonoidAlgebrastatement and proof · cited by 590
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- ZeroHom.toFunproof · cited by 101
- AddMonoidHom.toZeroHomproof · cited by 61
- MonoidAlgebra.liftNCproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- MonoidAlgebra.liftNCAlgHomproof · cited by 2
- CommRingCat.monoidAlgebraAdjproof · cited by 0
- MonoidAlgebra.liftNCRingHom_singlestatement · cited by 0